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Finding the Fourth Proportional to 193.59, 264.67 and 186.03

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Solution

The fourth proportional to 193.59, 264.67 and 186.03 is: 254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.59 : 264.67 = 186.03 : x
  2. Step 2: Convert to fraction form
    193.59/264.67 = 186.03/x
  3. Step 3: Cross multiply
    193.59x = 264.67 × 186.03
  4. Step 4: Simplify right side
    193.59x = 49,236.10
  5. Step 5: Solve for x
    x = 49,236.10/193.59
  6. Step 6: Final answer
    x = 254.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.